
<!doctype html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<html><head><title>Python: module pychess.Utils.eval</title>
</head><body bgcolor="#f0f0f8">

<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="heading">
<tr bgcolor="#7799ee">
<td valign=bottom>&nbsp;<br>
<font color="#ffffff" face="helvetica, arial">&nbsp;<br><big><big><strong><a href="pychess.html"><font color="#ffffff">pychess</font></a>.<a href="pychess.Utils.html"><font color="#ffffff">Utils</font></a>.eval</strong></big></big></font></td
><td align=right valign=bottom
><font color="#ffffff" face="helvetica, arial"><a href=".">index</a><br><a href="file:/home/thomas/Programmering/python/skak/svn/lib/pychess/Utils/eval.py">/home/thomas/Programmering/python/skak/svn/lib/pychess/Utils/eval.py</a></font></td></tr></table>
    <p></p>
<p>
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
<tr bgcolor="#eeaa77">
<td colspan=3 valign=bottom>&nbsp;<br>
<font color="#ffffff" face="helvetica, arial"><big><strong>Functions</strong></big></font></td></tr>
    
<tr><td bgcolor="#eeaa77"><tt>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</tt></td><td>&nbsp;</td>
<td width="100%"><dl><dt><a name="-analyzePawnStructure"><strong>analyzePawnStructure</strong></a>(board)</dt><dd><tt>Look&nbsp;at&nbsp;pawn&nbsp;positions&nbsp;to&nbsp;be&nbsp;able&nbsp;to&nbsp;detect&nbsp;features&nbsp;such&nbsp;as&nbsp;doubled,<br>
isolated&nbsp;or&nbsp;passed&nbsp;pawns</tt></dd></dl>
 <dl><dt><a name="-evalBadBishops"><strong>evalBadBishops</strong></a>(board)</dt><dd><tt>Bishops&nbsp;may&nbsp;be&nbsp;limited&nbsp;in&nbsp;their&nbsp;movement<br>
if&nbsp;there&nbsp;are&nbsp;too&nbsp;many&nbsp;pawns&nbsp;on&nbsp;squares&nbsp;of&nbsp;their&nbsp;color</tt></dd></dl>
 <dl><dt><a name="-evalCastling"><strong>evalCastling</strong></a>(board)</dt><dd><tt>Used&nbsp;to&nbsp;encourage&nbsp;castling</tt></dd></dl>
 <dl><dt><a name="-evalDevelopment"><strong>evalDevelopment</strong></a>(board)</dt><dd><tt>Mostly&nbsp;useful&nbsp;in&nbsp;the&nbsp;opening,&nbsp;this&nbsp;term&nbsp;encourages&nbsp;the&nbsp;machine&nbsp;to&nbsp;move<br>
its&nbsp;bishops&nbsp;and&nbsp;knights&nbsp;into&nbsp;play,&nbsp;to&nbsp;control&nbsp;the&nbsp;center&nbsp;with&nbsp;its&nbsp;queen's<br>
and&nbsp;king's&nbsp;pawns</tt></dd></dl>
 <dl><dt><a name="-evalKingTropism"><strong>evalKingTropism</strong></a>(board)</dt><dd><tt>All&nbsp;other&nbsp;things&nbsp;being&nbsp;equal,&nbsp;having&nbsp;your&nbsp;Knights,&nbsp;Queens&nbsp;and&nbsp;Rooks&nbsp;close<br>
to&nbsp;the&nbsp;opponent's&nbsp;king&nbsp;is&nbsp;a&nbsp;good&nbsp;thing</tt></dd></dl>
 <dl><dt><a name="-evalMaterial"><strong>evalMaterial</strong></a>(board)</dt></dl>
 <dl><dt><a name="-evalPawnStructure"><strong>evalPawnStructure</strong></a>(board)</dt><dd><tt>Given&nbsp;the&nbsp;pawn&nbsp;formations,&nbsp;penalize&nbsp;or&nbsp;bonify&nbsp;the&nbsp;position&nbsp;according&nbsp;to<br>
the&nbsp;features&nbsp;it&nbsp;contains</tt></dd></dl>
 <dl><dt><a name="-evalRookBonus"><strong>evalRookBonus</strong></a>(board)</dt><dd><tt>Rooks&nbsp;are&nbsp;more&nbsp;effective&nbsp;on&nbsp;the&nbsp;seventh&nbsp;rank&nbsp;and&nbsp;on&nbsp;open&nbsp;files</tt></dd></dl>
 <dl><dt><a name="-evaluateComplete"><strong>evaluateComplete</strong></a>(board, color<font color="#909090">=0</font>)</dt><dd><tt>A&nbsp;detailed&nbsp;evaluation&nbsp;function,&nbsp;taking&nbsp;into&nbsp;account<br>
several&nbsp;positional&nbsp;factors</tt></dd></dl>
</td></tr></table><p>
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
<tr bgcolor="#55aa55">
<td colspan=3 valign=bottom>&nbsp;<br>
<font color="#ffffff" face="helvetica, arial"><big><strong>Data</strong></big></font></td></tr>
    
<tr><td bgcolor="#55aa55"><tt>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</tt></td><td>&nbsp;</td>
<td width="100%"><strong>AN</strong> = 3<br>
<strong>ARTIFICIAL</strong> = 1<br>
<strong>BISHOP</strong> = 3<br>
<strong>BLACK</strong> = 1<br>
<strong>BLACKWON</strong> = 3<br>
<strong>BLACK_CASTLED</strong> = 32<br>
<strong>BLACK_OO</strong> = 4<br>
<strong>BLACK_OOO</strong> = 8<br>
<strong>DRAW</strong> = 1<br>
<strong>DRAW_50MOVES</strong> = 1<br>
<strong>DRAW_ACCEPTION</strong> = 3<br>
<strong>DRAW_AGREE</strong> = 3<br>
<strong>DRAW_INSUFFICIENT</strong> = 4<br>
<strong>DRAW_OFFER</strong> = 2<br>
<strong>DRAW_REPITITION</strong> = 0<br>
<strong>DRAW_STALEMATE</strong> = 2<br>
<strong>FAN</strong> = 2<br>
<strong>FLAG_CALL</strong> = 1<br>
<strong>HINT</strong> = 0<br>
<strong>KING</strong> = 0<br>
<strong>KNIGHT</strong> = 4<br>
<strong>LAN</strong> = 1<br>
<strong>LOCAL</strong> = 0<br>
<strong>NAME</strong> = 'PyChess'<br>
<strong>PAWN</strong> = 5<br>
<strong>PREFIX</strong> = '/home/thomas/Programmering/python/skak/svn'<br>
<strong>QUEEN</strong> = 1<br>
<strong>REMOTE</strong> = 2<br>
<strong>RESIGNATION</strong> = 0<br>
<strong>ROOK</strong> = 2<br>
<strong>RUNNING</strong> = 0<br>
<strong>SAN</strong> = 0<br>
<strong>SPY</strong> = 1<br>
<strong>VERSION</strong> = '0.6.0_beta'<br>
<strong>WHITE</strong> = 0<br>
<strong>WHITEWON</strong> = 2<br>
<strong>WHITE_CASTLED</strong> = 16<br>
<strong>WHITE_OO</strong> = 1<br>
<strong>WHITE_OOO</strong> = 2<br>
<strong>WON_CALLFLAG</strong> = 6<br>
<strong>WON_MATE</strong> = 7<br>
<strong>WON_RESIGN</strong> = 5<br>
<strong>blackPawnFileBins</strong> = [0, 0, 0, 0, 0, 0, 0, 0]<br>
<strong>chr2Sign</strong> = {'b': 3, 'k': 0, 'n': 4, 'p': 5, 'q': 1, 'r': 2}<br>
<strong>dic</strong> = {1: 0, 2: 0, 4: -5}<br>
<strong>endking</strong> = array('b', [-5, -3, -1, 0, 0, ...])<br>
<strong>hashfALPHA</strong> = 0<br>
<strong>hashfBETA</strong> = 1<br>
<strong>hashfEXACT</strong> = 2<br>
<strong>hashmap</strong> = {}<br>
<strong>kx</strong> = 7<br>
<strong>kxrow</strong> = [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}]<br>
<strong>ky</strong> = 7<br>
<strong>localePrefixes</strong> = ('/usr/share/locale', '/usr/local/share/locale')<br>
<strong>pawnColorBins</strong> = [0, 0]<br>
<strong>pawnRams</strong> = 0<br>
<strong>pieceValues</strong> = [0, 900, 500, 350, 300, 100]<br>
<strong>pos</strong> = {0: {0: array('h', [-100, 15, 15, -20, 10, ...]), 1: array('h', [-500, -500, -500, -500, -500, ...])}, 1: {0: array('b', [0, 0, 0, 5, 0, ...]), 1: array('b', [5, 5, 5, 10, 10, ...])}, 2: {0: array('b', [2, 2, 2, 2, 2, ...]), 1: array('b', [10, 15, 20, 25, 25, ...])}, 3: {0: array('b', [-5, -5, -10, -5, -5, ...]), 1: array('b', [-5, -5, -10, -5, -5, ...])}, 4: {0: array('b', [-20, -35, -10, -10, -10, ...]), 1: array('b', [-20, -10, -10, -10, -10, ...])}, 5: {0: array('b', [0, 0, 0, 0, 0, ...]), 1: array('b', [0, 0, 0, 0, 0, ...])}}<br>
<strong>prefixes</strong> = ('/usr/share', '/usr/local/share', '/usr/share/games', '/usr/local/share/games')<br>
<strong>px</strong> = 7<br>
<strong>pxrow</strong> = [[[{1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}, {1: 7, 2: 14, 4: 9}], [{1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}]], [[{1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}]], [[{1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}]], [[{1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}]], [[{1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}]], [[{1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}]], [[{1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}]], [[{1: 7, 2: 14, 4: 9}, {1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}], [{1: 6, 2: 12, 4: 8}, {1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}]]]<br>
<strong>py</strong> = 7<br>
<strong>pyrow</strong> = [[{1: 7, 2: 14, 4: 9}, {1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}], [{1: 6, 2: 12, 4: 8}, {1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}]]<br>
<strong>reprColor</strong> = ['White', 'Black']<br>
<strong>reprMode</strong> = ['hint', 'spy']<br>
<strong>reprPiece</strong> = ['King', 'Queen', 'Rook', 'Bishop', 'Knight', 'Pawn']<br>
<strong>reprResult</strong> = ['*', '1/2-1/2', '1-0', '0-1']<br>
<strong>reprSign</strong> = ['K', 'Q', 'R', 'B', 'N', 'P']<br>
<strong>tropismTable</strong> = [[[[{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}, {1: 7, 2: 14, 4: 9}]], [[{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}], [{1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}]], [[{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}]], [[{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}]], [[{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}]], [[{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}]], [[{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}]], [[{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 6, 2: 12, 4: 8}, {1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}], [{1: 7, 2: 14, 4: 9}, {1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}]]], [[[{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}, {1: 6, 2: 12, 4: 8}]], [[{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}]], [[{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}]], [[{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}]], [[{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}]], [[{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}]], [[{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}]], [[{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 6, 2: 12, 4: 8}, {1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}]]], [[[{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}]], [[{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}]], [[{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}]], [[{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}]], [[{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}]], [[{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}]], [[{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}]], [[{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}]]], [[[{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}]], [[{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}]], [[{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}]], [[{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}]], [[{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}]], [[{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}]], [[{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}]], [[{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}]]], [[[{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}]], [[{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}]], [[{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}]], [[{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}]], [[{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}]], [[{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}]], [[{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}]], [[{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}]]], [[[{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}]], [[{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}]], [[{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}]], [[{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}]], [[{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}]], [[{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}]], [[{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}]], [[{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}]]], [[[{1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}]], [[{1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}]], [[{1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}]], [[{1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}]], [[{1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}]], [[{1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}]], [[{1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}]], [[{1: 6, 2: 12, 4: 8}, {1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}]]], [[[{1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}, {1: 7, 2: 14, 4: 9}], [{1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}]], [[{1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}]], [[{1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}]], [[{1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}]], [[{1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}]], [[{1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}]], [[{1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}]], [[{1: 7, 2: 14, 4: 9}, {1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}], [{1: 6, 2: 12, 4: 8}, {1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}]]]]<br>
<strong>whitePawnFileBins</strong> = [0, 0, 0, 0, 0, 0, 0, 0]</td></tr></table>
</body></html>